APFIVE Series Convergence Tests
Which of the following is true about the series $$\displaystyle\sum_{n=2}^{\infty} \frac{1}{n \ln n}$$?
A
The series can be shown to converge by the ratio test.
B
The series can be shown to diverge by the integral test.
C
The series can be shown to converge by limit comparison with $$\displaystyle\sum_{n=2}^{\infty} \frac{1}{n^{3/2}}$$.
D
The series can be shown to converge by direct comparison with $$\displaystyle\sum_{n=2}^{\infty} \frac{1}{n^2}$$.
Question Leaderboard
Not enough data yet to show leaderboard.